Binomial Theorem

Binomial Theorem

Assessment

Assessment

Rachel Sung

Mathematics

11th Grade

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11 questions

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1.

Multiple Choice

5 mins

1 pt

Which row of Pascal's Triangle would you use to expand (x+y)3?

1

1  1

1  2  1

1  3  3  1

2.

Multiple Choice

5 mins

1 pt

Choose the right Pascal's triangle

3.

Multiple Choice

5 mins

1 pt

What is the Binomial expansion of (x + 1)5 ?

x5 + 5x4 + 10x3 + 10x2 + 5x + 1

x5 + 5x4 + 15x3 + 15x2 + 5x + 1

x5 + 6x4 + 15x3 + 15x2 + 6x + 1

x5 + 1

4.

Multiple Choice

5 mins

1 pt

How many terms are the in the expansion of (1+b)5

5

6

25

50

3

5.

Multiple Choice

5 mins

1 pt

Expand (d-5)5

d5 - 25 d4 + 250 d3 - 1250 d2 + 3125 d - 3125

d5 + 25 d4 + 250 d3 + 1250 d2 + 3125 d + 3125

d4 - 20d3 + 150d2 - 750d + 3125

d4 + 20d3 + 150d2 + 750d + 3125

6.

Multiple Choice

5 mins

1 pt

Expand
(b - 2)3

b3 - 2b2 + 4b - 8

5b3 - 20b2 + 40b - 40

b3 - 6b2 + 12b - 8

4b3 - 12b2 + 16b - 8

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